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Finding the Fourth Proportional to 14,914.23, 20,581.97 and 8,199.43

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Solution

The fourth proportional to 14,914.23, 20,581.97 and 8,199.43 is: 11,315.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,914.23 : 20,581.97 = 8,199.43 : x
  2. Step 2: Convert to fraction form
    14,914.23/20,581.97 = 8,199.43/x
  3. Step 3: Cross multiply
    14,914.23x = 20,581.97 × 8,199.43
  4. Step 4: Simplify right side
    14,914.23x = 168,760,329.83
  5. Step 5: Solve for x
    x = 168,760,329.83/14,914.23
  6. Step 6: Final answer
    x = 11,315.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.